Max-min and min-max Approximation Problems for Normal Matrices Revisited

0435950 - ÚI 2015 RIV US eng J - Článek v odborném periodiku
Liesen, J. - Tichý, Petr
Max-min and min-max Approximation Problems for Normal Matrices Revisited.
Electronic Transactions on Numerical Analysis. Roč. 41, 4 July (2014), s. 159-166. ISSN 1068-9613. E-ISSN 1068-9613
Grant CEP: GA ČR GA13-06684S
Grant ostatní: GA AV ČR(CZ) M100301201
Institucionální podpora: RVO:67985807
Klíčová slova: matrix approximation problems * min-max and max-min approximation problems * best approximation * normal matrices
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 0.759, rok: 2014
http://etna.mcs.kent.edu/volumes/2011-2020/vol41/abstract.php?vol=41&pages=159-166

We give a new proof of an equality of certain max-min and min-max approximation problems involving normal matrices. The previously published proofs of this equality apply tools from matrix theory, (analytic) optimization theory, and constrained convex optimization. Our proof uses a classical characterization theorem from approximation theory and thus exploits the link between the two approximation problems with normal matrices on the one hand and approximation problems on compact sets in the complex plane on the other.
Trvalý link: http://hdl.handle.net/11104/0239752